Answer: Assuming the riders starts at the position (20, 0) on the x-axis, the exact position of the rider will be (20cos75, 20sin75) or about (5.18, 19.32).
The angle for 5pi/12 radians is 75 degrees. Therefore, to find the position we can use the sine and cosine of 75 to find the x and y value of the coordinate.
For the y-value, we can write and solve:
sin75 = x/20
For the x-value, we can write and solve:
cos75 = x/20
Answer:
(4)Angle A is 63°
Step-by-step explanation:
To find angle A here is what you have to do
(1) triangle A is an Isosceles triangle which has two of its angles being equal.
(2) To find A we hv to look for the interior angles of the triangle. If u look carefully there is this angle outside the triangle .we can use a property called "Angles on a straight line
(3) " Angles on a straight line sum up to 180°" When u do that ur equation will look like this
126+(x)=180°. u may be wondering hw did we get the x?? well i named the angle we dont know with any valuable like T,F etc .when u group like terms ur equation should look like this (x)=180°-126°
if u subtract ur answer should be x=63°
(B) if u look closely u will see there are two triangles. The one to the far right is an Isosceles triangle why because there is this double stroke indicating it is an Isosceles triangle. Remember an Isosceles triangle has its bases being equal. so the the triangle has two angles of 30°. so If we want to find B we first have to find the interior angles of the Isosceles triangle . so our epuarion will be like this 30°+30°+(X)=180°
U group like terms so it will look like this x=180°-60° so,
x= 120°
So now T=120°
Now to find B
we write the equation like this T+(W)=180°
we put the value of T into the Equation w=180°-120 the answer is 60°
So to find B we find the interior angles of the triangle and the interior angles of the Isosceles triangle sum up to 180. so it will look like this B+90+60=180
Nb they should be in Degrees
finally u group like terms. ur equation should look like this B=180-150
ur answer should be B=30°
Answer:
$30
Step-by-step explanation:
Answer: The second piece can weigh 256 pounds at most.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality with the information given:
The sum of the weight of each piece of Luggage must be less or equal to 581 pounds:
x + 325 ≤581
Where x is the second piece's weight.
Solving for x:
x ≤581 -325
x ≤ 256
The second piece can weigh 256 pounds at most.
Feel free to ask for more if needed or if you did not understand something.